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4062024680 = 235719375167
BaseRepresentation
bin1111001000011101…
…1001001111101000
3101111002102020022112
43302013121033220
531304334242210
61511023141452
7202442432360
oct36207311750
911432366275
104062024680
1117a49a829a
12954444888
134c972a0cc
142a769b9a0
1518b927d05
hexf21d93e8

4062024680 has 64 divisors (see below), whose sum is σ = 10499466240. Its totient is φ = 1385459712.

The previous prime is 4062024653. The next prime is 4062024719. The reversal of 4062024680 is 864202604.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16457 + ... + 91623.

It is an arithmetic number, because the mean of its divisors is an integer number (164054160).

Almost surely, 24062024680 is an apocalyptic number.

4062024680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4062024680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249733120).

4062024680 is an abundant number, since it is smaller than the sum of its proper divisors (6437441560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4062024680 is a wasteful number, since it uses less digits than its factorization.

4062024680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75378 (or 75374 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4062024680 is about 63734.0150939826. The cubic root of 4062024680 is about 1595.5638418890.

The spelling of 4062024680 in words is "four billion, sixty-two million, twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 772 965 1351 1544 1930 2702 3860 5404 6755 7720 10808 13510 27020 54040 75167 150334 300668 375835 526169 601336 751670 1052338 1503340 2104676 2630845 3006680 4209352 5261690 10523380 14507231 21046760 29014462 58028924 72536155 101550617 116057848 145072310 203101234 290144620 406202468 507753085 580289240 812404936 1015506170 2031012340 4062024680